1. The problem statement, all variables and given/known data Let f:Rnxn-->Rnxn be defined by f(A) = A2. Prove that f is differentiable. Find the derivative of f. 2. Relevant equations f(a + h) = f(a) + f'(a)h + [itex]\phi[/itex](h) 3. The attempt at a solution f(A + H) = (A + H)2 = A2 + AH + HA + H2 f(A) is given by A2. So the sum of the derivative operator and the remainder term is AH + HA + H2. The problem is that I don't know how to determine which terms are part of the derivative.